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Finding the Third Proportional to 164,560 and 261,830

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Solution

The third proportional to 164,560 and 261,830 is: 416,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,560 : 261,830 = 261,830 : x
  2. Step 2: Convert to fraction form
    164,560/261,830 = 261,830/x
  3. Step 3: Cross multiply
    164,560x = 261,830 × 261,830
  4. Step 4: Simplify right side
    164,560x = 68,554,948,900
  5. Step 5: Solve for x
    x = 68,554,948,900/164,560
  6. Step 6: Final answer
    x = 416,595.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.